Reasoning - math word problems - page 51 of 88
Number of problems found: 1754
- MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones. - Olympiad Participants Set Problem
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv - MO Z8-I-1 2018
Frank and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Frank and David. - Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps? - MO Z9-I-3 2018
In our town there are three cinemas, which are named according to the compass points. About their opening hours it is known that: • every day at least one cinema is open, • if the southern cinema is open, then the northern cinema is not open, • the northe - Driver
The car driver drove at 100 km/h saw the obstacle and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 seconds? - Crayon count
Michelle has five crayons. Victor has fewer of them than Michelle. Wendell has as many as Michelle and Walt have together. All three have seven times more crayons than Victor. How many crayons does Wendell have? - Z8-I-2 MO 2018
A new pupil came into the class, about whom it was known that apart from English he still knew excellently one foreign language. Three classmates were arguing about which language it is. The first judged: "It is not French." The second guessed: "It is Spa - Clubhouse
A clubhouse contained only chairs and tables. Each chair had 4 legs and each table had 3 legs. A group of scouts arrived; each sat on a chair, 2 chairs were left empty, and the total number of legs in the room (people + furniture) was 101. How many chairs - Assembling teams
As you know, at the beginning of the school year new students go on adaptation courses. In one class they divided themselves into two unequally sized groups. The larger one decided to play football, the smaller one had in mind to play basketball. It was e - Car overtaking
A passenger car travels at a speed of 30 m/s; before it travels, a freight truck drives at a constant speed of 10 m/s. Within 30 meters of the truck, the driver of the car finds out that the truck can not overtake. That's why it starts braking with an acc - Z7–I–1 MO 2018
A single digit different from zero is written on each of three cards (the digits on different cards are not necessarily different). We know that any three-digit number formed from these cards is divisible by six. Moreover, a three-digit number divisible b - Bombastic number We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of
- Party Food Drink Attendance
Twenty-nine people lost bread rolls. Eighteen people tasted the cake. Thirty-two people offered themselves drinks. Seven people had a drink with cake. Eighteen people had bread and a drink. Eight people had bread and cake. Five people offered themselves t - Z7–I–4 2018 MO Betka
Karel was playing with gears assembled into a gear train. When he turned one wheel, all the others turned too. The first wheel had 32 teeth and the second had 24 teeth. When the third wheel (which is in the middle of the gear train) made exactly eight ful - Mba studium
At MBA school, fourth-year students can choose from three optional subjects: a) mathematical methods, b) social interaction, c) management Each student studies one of these subjects. The mathematical methods studied 28 students, the social interaction wit - Number operations puzzle
I think the number. I will increase it by 6, then decrease the increased number by 12, and then multiply the result by the number -2. I divide the product by the number -8 and get the number -4. What number do I think? - Wall building
The king gave the mason Wesley the task of building a wall 25 cm thick, 50 m long, and 2 m high. If Wesley had worked without a break and at the same pace, he would have built a wall in 26 hours. However, according to the valid royal regulations, Wencesla - Five pupils
Five pupils clean 30 chairs one hour before four pupils. How many chairs clean one pupil in 1 hour? - The tourist
The tourist traveled 190 km in 5 hours. Part of the journey was at 5 km/h, and the rest was by bus at 60 km/h. How long has a bus gone?
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